in a class test the sum of monu s marks in mathematics and english is 40. had he got 30 marks more in mathematics and 4 marks less in english the product of the marks would have been 360 . find his marks in two subjects separately
in a class test the sum of monu s marks in mathematics and english is 40. had he got 30 marks more in mathematics and 4 marks less in english the product of the marks would have been 360 . find his marks in two subjects separately
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Answer:
let the marks obtained in maths be x
the marks obtained in English=40-x
As per condition,
(x+3)(40-x-4)=360
(x+3)(36-x)=360
36x-x^2+108-3x=360
-x^2+33x+108-360=0
x^2-33x+252=0.
x^2-21x-12x+252=0
x(x-21)-12(x-21)
(x-21)(x-12)
x=21,12
English=40-21=19
Thus, Kamal scored 21 and 19 marks in mathematics and English, respectively. If x = 12, y = 40-12 = 28 Thus, Kamal scored 12 and 28 marks in mathematics and English, respectively.
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